Question

The sum of the first 2 consecutive positive odd integers is 394. Find them

Answer 1

Let the two consecutive odd numbers be x and x+2.

ATQ,

X2�+ (X+2)2�= 394

X2�+ X2�+ 4X + 22�= 394

2X2�+ 4X + 4 = 394 � � �.......( dividing the equation by 2)

X2�+2X =(394 - 4)/2

X2�+ 2X = 195

X2�+2X - 195 = 0

X2�+ 15X - 13X -195 = 0 � �.............( by factorization meathod )

X( X + 15 ) - 13( X + 15 ) = 0

( X + 15 ) ( X - 13 )

X = -15 OR X = 13